| |
| |
Preface | |
| |
| |
Acknowledgments | |
| |
| |
| |
Introduction | |
| |
| |
| |
Modern View of Power Systems | |
| |
| |
| |
Power Quality | |
| |
| |
| |
Interest in Power Quality | |
| |
| |
| |
Definition of Power Quality | |
| |
| |
| |
Events and Variations | |
| |
| |
| |
Power Quality Monitoring | |
| |
| |
| |
Signal Processing and Power Quality | |
| |
| |
| |
Monitoring Process | |
| |
| |
| |
Decomposition | |
| |
| |
| |
Stationary and Nonstationary Signals | |
| |
| |
| |
Machine Learning and Automatic Classification | |
| |
| |
| |
Electromagnetic Compatibility Standards | |
| |
| |
| |
Basic Principles | |
| |
| |
| |
Stochastic Approach | |
| |
| |
| |
Events and Variations | |
| |
| |
| |
Three Phases | |
| |
| |
| |
Overview of Power Quality Standards | |
| |
| |
| |
Compatibility Between Equipment and Supply | |
| |
| |
| |
Normal Operation | |
| |
| |
| |
Normal Events | |
| |
| |
| |
Abnormal Events | |
| |
| |
| |
Distributed Generation | |
| |
| |
| |
Impact of Distributed Generation on Current and Voltage Quality | |
| |
| |
| |
Tripping of Generator Units | |
| |
| |
| |
Conclusions | |
| |
| |
| |
About This Book | |
| |
| |
| |
Origin of Power Quality Variations | |
| |
| |
| |
Voltage Frequency Variations | |
| |
| |
| |
Power Balance | |
| |
| |
| |
Power-Frequency Control | |
| |
| |
| |
Consequences of Frequency Variations | |
| |
| |
| |
Measurement Examples | |
| |
| |
| |
Voltage Magnitude Variations | |
| |
| |
| |
Effect of Voltage Variations on Equipment | |
| |
| |
| |
Calculation of Voltage Magnitude | |
| |
| |
| |
Voltage Control Methods | |
| |
| |
| |
Voltage Unbalance | |
| |
| |
| |
Symmetrical Components | |
| |
| |
| |
Interpretation of Symmetrical Components | |
| |
| |
| |
Power Definitions in Symmetrical Components: Basic Expressions | |
| |
| |
| |
The dq-Transform | |
| |
| |
| |
Origin of Unbalance | |
| |
| |
| |
Consequences of Unbalance | |
| |
| |
| |
Voltage Fluctuations and Light Flicker | |
| |
| |
| |
Sources of Voltage Fluctuations | |
| |
| |
| |
Description of Voltage Fluctuations | |
| |
| |
| |
Light Flicker | |
| |
| |
| |
Incandescent Lamps | |
| |
| |
| |
Perception of Light Fluctuations | |
| |
| |
| |
Flickercurve | |
| |
| |
| |
Flickermeter Standard | |
| |
| |
| |
Flicker with Other Types of Lighting | |
| |
| |
| |
Other Effects of Voltage Fluctuations | |
| |
| |
| |
Waveform Distortion | |
| |
| |
| |
Consequences of Waveform Distortion | |
| |
| |
| |
Overview of Waveform Distortion | |
| |
| |
| |
Harmonic Distortion | |
| |
| |
| |
Sources of Waveform Distortion | |
| |
| |
| |
Harmonic Propagation and Resonance | |
| |
| |
| |
Summary and Conclusions | |
| |
| |
| |
Voltage Frequency Variations | |
| |
| |
| |
Voltage Magnitude Variations | |
| |
| |
| |
Voltage Unbalance | |
| |
| |
| |
Voltage Fluctuations and Flicker | |
| |
| |
| |
Waveform Distortion | |
| |
| |
| |
Processing of Stationary Signals | |
| |
| |
| |
Overview of Methods | |
| |
| |
| |
Parameters That Characterize Variations | |
| |
| |
| |
Voltage Frequency Variations | |
| |
| |
| |
Voltage Magnitude Variations | |
| |
| |
| |
Waveform Distortion | |
| |
| |
| |
Three-Phase Unbalance | |
| |
| |
| |
Power Quality Indices | |
| |
| |
| |
Total Harmonic Distortion | |
| |
| |
| |
Crest Factor | |
| |
| |
| |
Transformers: K-factor | |
| |
| |
| |
Capacitor Banks | |
| |
| |
| |
Motors and Generators | |
| |
| |
| |
Telephone Interference Factor | |
| |
| |
| |
Three-Phase Harmonic Measurements | |
| |
| |
| |
Power and Power Factor | |
| |
| |
| |
Frequency-Domain Analysis and Signal Transformation | |
| |
| |
| |
Continuous and Discrete Fourier Series | |
| |
| |
| |
Discrete Fourier Transform | |
| |
| |
| |
Estimation of Harmonics and Interharmonics | |
| |
| |
| |
Sinusoidal Models and High-Resolution Line Spectral Analysis | |
| |
| |
| |
Multiple Signal Classification | |
| |
| |
| |
Estimation of Signal Parameters via Rotational Invariance Techniques | |
| |
| |
| |
Kalman Filters | |
| |
| |
| |
Estimation of Broadband Spectrum | |
| |
| |
| |
AR Models | |
| |
| |
| |
ARMA Models | |
| |
| |
| |
Summary and Conclusions | |
| |
| |
| |
Frequency Variations | |
| |
| |
| |
Voltage Magnitude Variations | |
| |
| |
| |
Three-Phase Unbalance | |
| |
| |
| |
Waveform Distortion | |
| |
| |
| |
Methods for Spectral Analysis | |
| |
| |
| |
General Issues | |
| |
| |
| |
Further Reading | |
| |
| |
| |
Processing of Nonstationary Signals | |
| |
| |
| |
Overview of Some Nonstationary Power Quality Data Analysis Methods | |
| |
| |
| |
Non-Model-Based Methods | |
| |
| |
| |
Model-Based Methods | |
| |
| |
| |
Discrete STFT for Analyzing Time-Evolving Signal Components | |
| |
| |
| |
Interpretation of STFT as Bank of Subband Filters with Equal Bandwidth | |
| |
| |
| |
Time Resolution and Frequency Resolution | |
| |
| |
| |
Selecting Center Frequencies of Bandpass Filters | |
| |
| |
| |
Leakage and Selection of Windows | |
| |
| |
| |
Discrete Wavelet Transforms for Time-Scale Analysis of Disturbances | |
| |
| |
| |
Structure of Multiscale Analysis and Synthesis Filter Banks | |
| |
| |
| |
Conditions for Perfect Reconstruction | |
| |
| |
| |
Orthogonal Two-Channel PR Filter Banks | |
| |
| |
| |
Linear-Phase Two-Channel PR Filter Banks | |
| |
| |
| |
Possibility for Two-Channel PR FIR Filter Banks with Both Linear-Phase and Orthogonality | |
| |
| |
| |
Steps for Designing Two-Channel PR FIR Filter Banks | |
| |
| |
| |
Discussion | |
| |
| |
| |
Consideration in Power Quality Data Analysis: Choosing Wavelets or STFTs? | |
| |
| |
| |
Block-Based Modeling | |
| |
| |
| |
Why Divide Data into Blocks? | |
| |
| |
| |
Divide Data into Fixed-Size Blocks | |
| |
| |
| |
Block-Based AR Modeling | |
| |
| |
| |
Sliding-Window MUSIC and ESPRIT | |
| |
| |
| |
Models Directly Applicable to Nonstationary Data | |
| |
| |
| |
Kalman Filters | |
| |
| |
| |
Discussion: Sliding-Window ESPRIT/MUSIC Versus Kalman Filter | |
| |
| |
| |
Summary and Conclusion | |
| |
| |
| |
Further Reading | |
| |
| |
| |
Statistics of Variations | |
| |
| |
| |
From Features to System Indices | |
| |
| |
| |
Time Aggregation | |
| |
| |
| |
Need for Aggregation | |
| |
| |
| |
IEC 61000-4-30 | |
| |
| |
| |
Voltage and Current Steps | |
| |
| |
| |
Very Short Variations | |
| |
| |
| |
Flagging | |
| |
| |
| |
Phase Aggregation | |
| |
| |
| |
Characteristics Versus Time | |
| |
| |
| |
Arc-Furnace Voltages and Currents | |
| |
| |
| |
Voltage Frequency | |
| |
| |
| |
Voltage Magnitude | |
| |
| |
| |
Very Short Variations | |
| |
| |
| |
Harmonic Distortion | |
| |
| |
| |
Site Indices | |
| |
| |
| |
General Overview | |
| |
| |
| |
Frequency Variations | |
| |
| |
| |
Voltage Variations | |
| |
| |
| |
Very Short Variations | |
| |
| |
| |
Voltage Unbalance | |
| |
| |
| |
Voltage Fluctuations and Flicker | |
| |
| |
| |
Voltage Distortion | |
| |
| |
| |
Combined Indices | |
| |
| |
| |
System Indices | |
| |
| |
| |
General | |
| |
| |
| |
Frequency Variations | |
| |
| |
| |
Voltage Variations | |
| |
| |
| |
Voltage Fluctuations | |
| |
| |
| |
Unbalance | |
| |
| |
| |
Distortion | |
| |
| |
| |
Power Quality Objectives | |
| |
| |
| |
Point of Common Coupling | |
| |
| |
| |
Voltage Characteristics, Compatibility Levels, and Planning Levels | |
| |
| |
| |
Voltage Characteristics EN 50160 | |
| |
| |
| |
Compatibility Levels: IEC 61000-2-2 | |
| |
| |
| |
Planning Levels: IEC 61000-3-6 | |
| |
| |
| |
Current Distortion by Customers: IEC 61000-3-6; IEEE Standard 519 | |
| |
| |
| |
Current Distortion by Equipment: IEC 61000-3-2 | |
| |
| |
| |
Other Power Quality Objectives | |
| |
| |
| |
Summary and Conclusions | |
| |
| |
| |
Origin of Power Quality Events | |
| |
| |
| |
Interruptions | |
| |
| |
| |
Terminology | |
| |
| |
| |
Causes of Interruptions | |
| |
| |
| |
Restoration and Voltage Recovery | |
| |
| |
| |
Multiple Interruptions | |
| |
| |
| |
Voltage Dips | |
| |
| |
| |
Causes of Voltage Dips | |
| |
| |
| |
Voltage-Dip Examples | |
| |
| |
| |
Voltage Dips in Three Phases | |
| |
| |
| |
Phase-Angle Jumps Associated with Voltage Dips | |
| |
| |
| |
Voltage Recovery After a Fault | |
| |
| |
| |
Transients | |
| |
| |
| |
What Are Transients? | |
| |
| |
| |
Lightning Transients | |
| |
| |
| |
Normal Switching Transients | |
| |
| |
| |
Abnormal Switching Transients | |
| |
| |
| |
Examples of Voltage and Current Transients | |
| |
| |
| |
Summary and Conclusions | |
| |
| |
| |
Interruptions | |
| |
| |
| |
Voltage Dips | |
| |
| |
| |
Transients | |
| |
| |
| |
Other Events | |
| |
| |
| |
Triggering and Segmentation | |
| |
| |
| |
Overview of Existing Methods | |
| |
| |
| |
Dips, Swells, and Interruptions | |
| |
| |
| |
Transients | |
| |
| |
| |
Other Proposed Methods | |
| |
| |
| |
Basic Concepts of Triggering and Segmentation | |
| |
| |
| |
Triggering Methods | |
| |
| |
| |
Changes in rms or Waveforms | |
| |
| |
| |
High-Pass Filters | |
| |
| |
| |
Detecting Singular Points from Wavelet Transforms | |
| |
| |
| |
Prominent Residuals from Models | |
| |
| |
| |
Segmentation | |
| |
| |
| |
Basic Idea for Segmentation of Disturbance Data | |
| |
| |
| |
Using Residuals of Sinusoidal Models | |
| |
| |
| |
Using Residuals of AR Models | |
| |
| |
| |
Using Fundamental-Voltage Magnitude or rms Sequences | |
| |
| |
| |
Using Time-Dependent Subband Components from Wavelets | |
| |
| |
| |
Summary and Conclusions | |
| |
| |
| |
Characterization of Power Quality Events | |
| |
| |
| |
Voltage Magnitude Versus Time | |
| |
| |
| |
Rms Voltage | |
| |
| |
| |
Half-Cycle rms | |
| |
| |
| |
Alternative Magnitude Definitions | |
| |
| |
| |
Phase Angle Versus Time | |
| |
| |
| |
Three-Phase Characteristics Versus Time | |
| |
| |
| |
Symmetrical-Component Method | |
| |
| |
| |
Implementation of Symmetrical-Component Method | |
| |
| |
| |
Six-Phase Algorithm | |
| |
| |
| |
Performance of Two Algorithms | |
| |
| |
| |
Distortion During Event | |
| |
| |
| |
Single-Event Indices: Interruptions | |
| |
| |
| |
Single-Event Indices: Voltage Dips | |
| |
| |
| |
Residual Voltage and Duration | |
| |
| |
| |
Depth of a Voltage Dip | |
| |
| |
| |
Definition of Reference Voltage | |
| |
| |
| |
Sliding-Reference Voltage | |
| |
| |
| |
Multiple-Threshold Setting | |
| |
| |
| |
Uncertainty in Residual Voltage | |
| |
| |
| |
Point on Wave | |
| |
| |
| |
Phase-Angle Jump | |
| |
| |
| |
Single-Index Methods | |
| |
| |
| |
Single-Event Indices: Voltage Swells | |
| |
| |
| |
Single-Event Indices Based on Three-Phase Characteristics | |
| |
| |
| |
Additional Information from Dips and Interruptions | |
| |
| |
| |
Transients | |
| |
| |
| |
Extracting Transient Component | |
| |
| |
| |
Transients: Single-Event Indices | |
| |
| |
| |
Transients in Three Phases | |
| |
| |
| |
Additional Information from Transients | |
| |
| |
| |
Summary and Conclusions | |
| |
| |
| |
Event Classification | |
| |
| |
| |
Overview of Machine Data Learning Methods for Event Classification | |
| |
| |
| |
Typical Steps Used in Classification System | |
| |
| |
| |
Feature Extraction | |
| |
| |
| |
Feature Optimization | |
| |
| |
| |
Selection of Topologies or Architectures for Classifiers | |
| |
| |
| |
Supervised/Unsupervised Learning | |
| |
| |
| |
Cross-Validation | |
| |
| |
| |
Classification | |
| |
| |
| |
Learning Machines Using Linear Discriminants | |
| |
| |
| |
Learning and Classification Using Probability Distributions | |
| |
| |
| |
Hypothesis Tests and Decision Trees | |
| |
| |
| |
Neyman-Pearson Approach | |
| |
| |
| |
Bayesian Approach | |
| |
| |
| |
Bayesian Belief Networks | |
| |
| |
| |
Example of Sequential Classification of Fault-Induced Voltage Dips | |
| |
| |
| |
Learning and Classification Using Artificial Neural Networks | |
| |
| |
| |
Multilayer Perceptron Classifiers | |
| |
| |
| |
Radial-Basis Function Networks | |
| |
| |
| |
Applications to Classification of Power System Disturbances | |
| |
| |
| |
Learning and Classification Using Support Vector Machines | |
| |
| |
| |
Why Use a Support Vector Machine for Classification? | |
| |
| |
| |
SVMs and Generalization Error | |
| |
| |
| |
Case 1: SVMs for Linearly Separable Patterns | |
| |
| |
| |
Case 2: Soft-Margin SVMs for Linearly Nonseparable Patterns | |
| |
| |
| |
Selecting Kernels for SVMs and Mercer's Condition | |
| |
| |
| |
Implementation Issues and Practical Examples of SVMs | |
| |
| |
| |
Example of Detecting Voltage Dips Due to Faults | |
| |
| |
| |
Rule-Based Expert Systems for Classification of Power System Events | |
| |
| |
| |
Structure and Rules of Expert Systems | |
| |
| |
| |
Application of Expert Systems to Event Classification | |
| |
| |
| |
Summary and Conclusions | |
| |
| |
| |
Event Statistics | |
| |
| |
| |
Interruptions | |
| |
| |
| |
Interruption Statistics | |
| |
| |
| |
IEEE Standard 1366 | |
| |
| |
| |
Transmission System Indices | |
| |
| |
| |
Major Events | |
| |
| |
| |
Voltage Dips: Site Indices | |
| |
| |
| |
Residual Voltage and Duration Data | |
| |
| |
| |
Scatter Plot | |
| |
| |
| |
Density and Distribution Functions | |
| |
| |
| |
Two-Dimensional Distributions | |
| |
| |
| |
SARFI Indices | |
| |
| |
| |
Single-Index Methods | |
| |
| |
| |
Year-to-Year Variations | |
| |
| |
| |
Comparison Between Phase-Ground and Phase-Phase Measurements | |
| |
| |
| |
Voltage Dips: Time Aggregation | |
| |
| |
| |
Need for Time Aggregation | |
| |
| |
| |
Time Between Events | |
| |
| |
| |
Chains of Events for Four Different Sites | |
| |
| |
| |
Impact on Site Indices | |
| |
| |
| |
Voltage Dips: System Indices | |
| |
| |
| |
Scatter Plots | |
| |
| |
| |
Distribution Functions | |
| |
| |
| |
Contour Charts | |
| |
| |
| |
Seasonal Variations | |
| |
| |
| |
Voltage-Dip Tables | |
| |
| |
| |
Effect of Time Aggregation on Voltage-Dip Tables | |
| |
| |
| |
SARFI Indices | |
| |
| |
| |
Single-Index Methods | |
| |
| |
| |
Summary and Conclusions | |
| |
| |
| |
Interruptions | |
| |
| |
| |
Voltage Dips | |
| |
| |
| |
Time Aggregation | |
| |
| |
| |
Stochastic Prediction Methods | |
| |
| |
| |
Other Events | |
| |
| |
| |
Conclusions | |
| |
| |
| |
Events and Variations | |
| |
| |
| |
Power Quality Variations | |
| |
| |
| |
Power Quality Events | |
| |
| |
| |
Itemization of Power Quality | |
| |
| |
| |
Signal-Processing Needs | |
| |
| |
| |
Variations | |
| |
| |
| |
Variations and Events | |
| |
| |
| |
Events | |
| |
| |
| |
Event Classification | |
| |
| |
| |
IEC Standards on Power Quality | |
| |
| |
| |
IEEE Standards on Power Quality | |
| |
| |
Bibliography | |
| |
| |
Index | |